An Introduction To Measure Theory

By Terrence Tao. 2011

146 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7137bd247def0486d57febde70b1a28a7dce2db9

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In Geometry and Topology

1. Nicolas Perkowski
2. David J. Promel

In Mathematical Physics

1. Nicolas Perkowski
2. David J. Promel
3. Massimiliano Gubinelli
4. Hendrik Weber
5. Jean-Christophe Mourrat

Citations in the corpus

• Pathwise stochastic integrals for model free finance (2013, background): “n corresponds to the usual construction of an outer measure from an outer content (i.e. an outer measure which is only finitely subadditive and not countably subadditive); see [Fol99], Chapter 1.4, or [Tao11], Chapter 1.7. Here, the outer content is given by the cheapest superhedging price using only”
• A lambda-calculus foundation for universal probabilistic programming (2015, background): “ on the derivation of M ⇓[]w G. Lemma 106 If PV M([]) > 0, then PV M(t) = 0 for all t 6= [] . Proof. Follows directly from Lemma 105. Lemma 107 (Tonelli’s theorem for sums and integrals, 1.4.46 in [36]) If (Ω,Σ,µ) is a measure space and f1,f2,... a sequence of non-negative measurable functions, t”